Events
Linear Algebra Seminar |
| Time: Feb 23, 2015 (04:00 PM) |
| Location: Parker Hall 224 |
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Details: Speaker: Hanyu Li Title: New rigorous perturbation bounds for the LU and QR factorizations Abstract: In this talk, we will introduce some new rigorous perturbation bounds for the LU and QR factorizations with normwise or componentwise perturbations in the given matrix, where the componentwise perturbations have the form of backward error resulting from the standard factorization algorithms. Moreover, some new sharper first-order perturbation bounds including two optimal ones for the LU factorization are also presented. |